56821284864000 has 1152 divisors, whose sum is σ = 213399732349440. Its totient is φ = 15084394905600.

The previous prime is 56821284863909. The next prime is 56821284864037. The reversal of 56821284864000 is 46848212865.

56821284864000 is a `hidden beast` number, since 5 + 6 + 82 + 1 + 2 + 84 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254803967889 + ... + 254803968111.

It is an arithmetic number, because the mean of its divisors is an integer number (185242823220).

Almost surely, 2^{56821284864000} is an apocalyptic number.

56821284864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56821284864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106699866174720).

56821284864000 is an abundant number, since it is smaller than the sum of its proper divisors (156578447485440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56821284864000 is an frugal number, since it uses more digits than its factorization.

56821284864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 56821284864000 in words is "fifty-six trillion, eight hundred twenty-one billion, two hundred eighty-four million, eight hundred sixty-four thousand".